diff --git a/stdlib/2.7/__builtin__.pyi b/stdlib/2.7/__builtin__.pyi
index 3097c92a4..6d967d38a 100644
--- a/stdlib/2.7/__builtin__.pyi
+++ b/stdlib/2.7/__builtin__.pyi
@@ -567,11 +567,11 @@ class set(MutableSet[_T], Generic[_T]):
     def add(self, element: _T) -> None: ...
     def clear(self) -> None: ...
     def copy(self) -> set[_T]: ...
-    def difference(self, s: Iterable[Any]) -> set[_T]: ...
-    def difference_update(self, s: Iterable[Any]) -> None: ...
+    def difference(self, *s: Iterable[Any]) -> set[_T]: ...
+    def difference_update(self, *s: Iterable[Any]) -> None: ...
     def discard(self, element: _T) -> None: ...
-    def intersection(self, s: Iterable[Any]) -> set[_T]: ...
-    def intersection_update(self, s: Iterable[Any]) -> None: ...
+    def intersection(self, *s: Iterable[Any]) -> set[_T]: ...
+    def intersection_update(self, *s: Iterable[Any]) -> None: ...
     def isdisjoint(self, s: AbstractSet[Any]) -> bool: ...
     def issubset(self, s: AbstractSet[Any]) -> bool: ...
     def issuperset(self, s: AbstractSet[Any]) -> bool: ...
@@ -579,8 +579,8 @@ class set(MutableSet[_T], Generic[_T]):
     def remove(self, element: _T) -> None: ...
     def symmetric_difference(self, s: Iterable[_T]) -> set[_T]: ...
     def symmetric_difference_update(self, s: Iterable[_T]) -> None: ...
-    def union(self, s: Iterable[_T]) -> set[_T]: ...
-    def update(self, s: Iterable[_T]) -> None: ...
+    def union(self, *s: Iterable[_T]) -> set[_T]: ...
+    def update(self, *s: Iterable[_T]) -> None: ...
     def __len__(self) -> int: ...
     def __contains__(self, o: object) -> bool: ...
     def __iter__(self) -> Iterator[_T]: ...
@@ -605,13 +605,13 @@ class frozenset(AbstractSet[_T], Generic[_T]):
     @overload
     def __init__(self, iterable: Iterable[_T]) -> None: ...
     def copy(self) -> frozenset[_T]: ...
-    def difference(self, s: AbstractSet[Any]) -> frozenset[_T]: ...
-    def intersection(self, s: AbstractSet[Any]) -> frozenset[_T]: ...
+    def difference(self, *s: AbstractSet[Any]) -> frozenset[_T]: ...
+    def intersection(self, *s: AbstractSet[Any]) -> frozenset[_T]: ...
     def isdisjoint(self, s: AbstractSet[_T]) -> bool: ...
     def issubset(self, s: AbstractSet[Any]) -> bool: ...
     def issuperset(self, s: AbstractSet[Any]) -> bool: ...
     def symmetric_difference(self, s: AbstractSet[_T]) -> frozenset[_T]: ...
-    def union(self, s: AbstractSet[_T]) -> frozenset[_T]: ...
+    def union(self, *s: AbstractSet[_T]) -> frozenset[_T]: ...
     def __len__(self) -> int: ...
     def __contains__(self, o: object) -> bool: ...
     def __iter__(self) -> Iterator[_T]: ...
diff --git a/stdlib/3/builtins.pyi b/stdlib/3/builtins.pyi
index e0c41892b..deebf1dfc 100644
--- a/stdlib/3/builtins.pyi
+++ b/stdlib/3/builtins.pyi
@@ -537,11 +537,11 @@ class set(MutableSet[_T], Generic[_T]):
     def add(self, element: _T) -> None: ...
     def clear(self) -> None: ...
     def copy(self) -> set[_T]: ...
-    def difference(self, s: Iterable[Any]) -> set[_T]: ...
-    def difference_update(self, s: Iterable[Any]) -> None: ...
+    def difference(self, *s: Iterable[Any]) -> set[_T]: ...
+    def difference_update(self, *s: Iterable[Any]) -> None: ...
     def discard(self, element: _T) -> None: ...
-    def intersection(self, s: Iterable[Any]) -> set[_T]: ...
-    def intersection_update(self, s: Iterable[Any]) -> None: ...
+    def intersection(self, *s: Iterable[Any]) -> set[_T]: ...
+    def intersection_update(self, *s: Iterable[Any]) -> None: ...
     def isdisjoint(self, s: AbstractSet[Any]) -> bool: ...
     def issubset(self, s: AbstractSet[Any]) -> bool: ...
     def issuperset(self, s: AbstractSet[Any]) -> bool: ...
@@ -549,8 +549,8 @@ class set(MutableSet[_T], Generic[_T]):
     def remove(self, element: _T) -> None: ...
     def symmetric_difference(self, s: Iterable[_T]) -> set[_T]: ...
     def symmetric_difference_update(self, s: Iterable[_T]) -> None: ...
-    def union(self, s: Iterable[_T]) -> set[_T]: ...
-    def update(self, s: Iterable[_T]) -> None: ...
+    def union(self, *s: Iterable[_T]) -> set[_T]: ...
+    def update(self, *s: Iterable[_T]) -> None: ...
     def __len__(self) -> int: ...
     def __contains__(self, o: object) -> bool: ...
     def __iter__(self) -> Iterator[_T]: ...
@@ -572,13 +572,13 @@ class set(MutableSet[_T], Generic[_T]):
 class frozenset(AbstractSet[_T], Generic[_T]):
     def __init__(self, iterable: Iterable[_T]=None) -> None: ...
     def copy(self) -> frozenset[_T]: ...
-    def difference(self, s: AbstractSet[Any]) -> frozenset[_T]: ...
-    def intersection(self, s: AbstractSet[Any]) -> frozenset[_T]: ...
+    def difference(self, *s: AbstractSet[Any]) -> frozenset[_T]: ...
+    def intersection(self, *s: AbstractSet[Any]) -> frozenset[_T]: ...
     def isdisjoint(self, s: AbstractSet[_T]) -> bool: ...
     def issubset(self, s: AbstractSet[Any]) -> bool: ...
     def issuperset(self, s: AbstractSet[Any]) -> bool: ...
     def symmetric_difference(self, s: AbstractSet[_T]) -> frozenset[_T]: ...
-    def union(self, s: AbstractSet[_T]) -> frozenset[_T]: ...
+    def union(self, *s: AbstractSet[_T]) -> frozenset[_T]: ...
     def __len__(self) -> int: ...
     def __contains__(self, o: object) -> bool: ...
     def __iter__(self) -> Iterator[_T]: ...